Question

Please help! Thank you

Find the midpoint M of the line segment joining the points
A = (6,-3) and B = (-2,1)

Answer 1

For this case we have by definition, given two points,
`(x_ {1}, y_ {1}) y (x_ {2}, y_ {2})`. The formula of the midpoint is given by:

`M = (\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2})`

We have to:

`(x_ {1}, y_ {1}) = (6, -3)\\(x_ {2}, y_ {2}) = (- 2,1)`

Substituting:

`M = (\frac {6-2} {2}, \frac {-3 + 1} {2})\\M = (\frac {4} {2}, \frac {-2} {2})\\M = (2, -1)`

So, the midpoint is:

`M = (2, -1)`

ANswer:

`M = (2, -1)`